Find roots of polynomial $$ p(x) = x^3+422-7x-10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -7.7544\\[1 em]x_2 &= 3.8772+6.1724i\\[1 em]x_3 &= 3.8772-6.1724i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^3+ \color{blue}{422} -7x \color{blue}{-10} = x^3-7x+ \color{blue}{412} $$Step 2:
Polynomial $ x^3-7x+412 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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